Applications of Integration: Improper Integrals

**Improper Integrals**

In
defining the Riemann integral * _{a}*âˆ«

_{a}*âˆ«*^{âˆž}* f *(*
x*)* dx *,* ^{a}*âˆ«

where *a* is a real number and *f* ( *x*)
is a continuous function on the interval of integration. They are defined as
the limits of Riemann integrals as follows:

They are
called **improper integrals of first kind.
If the limits exist, then the improper** **integrals
are said to be convergent.**

**Note**

By the
Fundamental theorem of integral calculus, there exists a function *F* (*t*)
such that

Tags : Applications of Integration | Mathematics , 12th Maths : UNIT 9 : Applications of Integration

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12th Maths : UNIT 9 : Applications of Integration : Improper Integrals | Applications of Integration | Mathematics

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